3809400 has 96 divisors (see below), whose sum is σ = 13511040. Its totient is φ = 869760.

The previous prime is 3809387. The next prime is 3809423. The reversal of 3809400 is 49083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3747 + ... + 4653.

It is an arithmetic number, because the mean of its divisors is an integer number (140740).

Almost surely, 2^3809400 is an apocalyptic number.

3809400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755520).

3809400 is an abundant number, since it is smaller than the sum of its proper divisors (9701640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3809400 is a wasteful number, since it uses less digits than its factorization.

3809400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3809400 is about 1951.7684288870. The cubic root of 3809400 is about 156.1776411627.

The spelling of 3809400 in words is "three million, eight hundred nine thousand, four hundred".